Narrowly defeat, with "out"
I believe the answer is:
edge
<span class="explanation-format__ClueExplanation">'<span class="explanation-format__original">narrowly defeat with out</span>' is the definition.<br/ ><span class="explanation-format__explanation">(I've seen this in another clue)</span><br/ ><br/ >This is the entire clue.<br/ ></span>
(Other definitions for edge that I've seen before include "Margin, outside limit" , "The part farthest from the middle" , "Creep" , "Guitarist with U2" , "Keenness" .)